Codebase release 0.5 for HarmonicBalance.jl
| dc.contributor.author | Kosata, Jan | |
| dc.contributor.author | del Pino, Javier | |
| dc.contributor.author | Heugel, Toni L. | |
| dc.contributor.author | Zilberberg, Oded | |
| dc.date.accessioned | 2025-03-25T07:33:59Z | |
| dc.date.available | 2025-03-25T07:33:59Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | HarmonicBalance.jl is a publicly available Julia package designed to simplify and solve systems of periodic time-dependent nonlinear ordinary differential equations. Time dependence of the system parameters is treated with the harmonic balance method, which approximates the system's behaviour as a set of harmonic terms with slowly-varying amplitudes. Under this approximation, the set of all possible steady-state responses follows from the solution of a polynomial system. In HarmonicBalance.jl, we combine harmonic balance with contemporary implementations of symbolic algebra and the homotopy continuation method to numerically determine all steady-state solutions and their associated fluctuation dynamics. For the exploration of involved steady-state topologies, we provide a simple graphical user interface, allowing for arbitrary solution observables and phase diagrams. HarmonicBalance.jl is a free software available at https://github.com/NonlinearOscillations/HarmonicBalance.jl. | |
| dc.description.version | published | deu |
| dc.identifier.doi | 10.21468/SciPostPhysCodeb.6-r0.5 | |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/72776 | |
| dc.language.iso | eng | |
| dc.relation.isreferencedby | https://github.com/NonlinearOscillations/HarmonicBalance.jl | |
| dc.subject.ddc | 530 | |
| dc.title | Codebase release 0.5 for HarmonicBalance.jl | eng |
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| kops.citation.iso690 | KOSATA, Jan, Javier DEL PINO, Toni L. HEUGEL, Oded ZILBERBERG, 2022. Codebase release 0.5 for HarmonicBalance.jl | deu |
| kops.citation.iso690 | KOSATA, Jan, Javier DEL PINO, Toni L. HEUGEL, Oded ZILBERBERG, 2022. Codebase release 0.5 for HarmonicBalance.jl | eng |
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